The temperature field in a heat-sensitive space with a cubic cavity subject to heat flux

Autor:	Yu. M. Kolyano, O. V. Sikora, E. G. Ivanik
Rok vydání:	1996
Předmět:	Statistics and Probability Thermal conductivity Heat flux Differential equation Applied Mathematics General Mathematics Heat transfer Mathematical analysis Heat transfer coefficient Thermal diffusivity Thermal conduction Nucleate boiling Mathematics
Zdroj:	Journal of Mathematical Sciences. 79:1472-1477
ISSN:	1573-8795 1072-3374
Popis:	We obtain the solution of the stationary heat-conduction problem for a space with a cubic cavity under the assumption that the coefficient of thermal conductivity depends on the temperature. The surfaces of the cavity are subject to heat flux. By using the Kirchhoff variable and the method of continuation of functions we reduce the problem to a linear differential equation with singular coefficients on the right-hand side. We conduct a numerical study of the temperature distribution as a function of the spatial coordinate and the Kirpichev criterion that characterizes the thermal flux density.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::239fa9faab11fe01189bf8730c27d45b https://doi.org/10.1007/bf02362809 Zobrazit plný text záznamu Full text from SpringerLink